A114866 Decimal expansion of the position of the unique local minimum of the Riemann-Siegel theta function.

6, 2, 8, 9, 8, 3, 5, 9, 8, 8, 8, 3, 6, 9, 0, 2, 7, 7, 9, 6, 6, 5, 0, 9, 0, 1, 0, 0, 8, 2, 1, 8, 5, 3, 3, 9, 6, 6, 5, 8, 3, 1, 2, 9, 4, 5, 1, 9, 2, 7, 8, 9, 5, 4, 5, 3, 5, 7, 7, 6, 5, 5, 3, 9, 0, 2, 7, 4, 7, 8, 7, 6, 3, 7, 9, 3, 6, 5, 1, 9, 9, 4, 2, 3, 8, 6, 5, 9, 4, 4, 5, 7, 1, 8, 0, 1, 8, 6, 2, 0, 3, 2

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Eric Weisstein's World of Mathematics, Riemann-Siegel Functions

Formula

Also the first positive solution to zeta(1/2+i*t)*zeta'(1/2-i*t) + zeta(1/2-i*t)*zeta'(1/2+i*t) = 0. - Jean-François Alcover, Mar 10 2014

Example

6.28983598...

Mathematica

t0 = t /. FindRoot[ RiemannSiegelTheta'[t] == 0, {t, 6}, WorkingPrecision -> 110]; RealDigits[t0, 10, 102] // First (* Jean-François Alcover, Feb 08 2013 *)

Crossrefs

Cf. A114865.

Sequence in context: A332092 A378713 A021163 * A384279 A248270 A201324

Adjacent sequences: A114863 A114864 A114865 * A114867 A114868 A114869

Keyword

nonn,cons

Author

Eric W. Weisstein, Jan 02 2006

Extensions

Digits from a(94) on corrected by Jean-François Alcover, Feb 08 2013

Status

approved